Answer
See below.
Work Step by Step
$LHS=\frac{cos\theta+sin\theta-sin^3\theta}{sin\theta}=\frac{cos\theta+sin\theta(1-sin^2\theta)}{sin\theta}=\frac{cos\theta+sin\theta(cos^2\theta)}{sin\theta}=cot\theta+cos^2\theta=RHS$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.4 Trigonometric Identities - 6.4 Assess Your Understanding - Page 497: 86
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